What is the Greatest Common Factor of 51675 and 51684?

Greatest common factor (GCF) of 51675 and 51684 is 3.

GCF(51675,51684) = 3

We will now calculate the prime factors of 51675 and 51684, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51675 and 51684.

How to find the GCF of 51675 and 51684?

We will first find the prime factorization of 51675 and 51684. After we will calculate the factors of 51675 and 51684 and find the biggest common factor number .

Step-1: Prime Factorization of 51675

Prime factors of 51675 are 3, 5, 13, 53. Prime factorization of 51675 in exponential form is:

51675 = 3¹ × 5² × 13¹ × 53¹

Step-2: Prime Factorization of 51684

Prime factors of 51684 are 2, 3, 59, 73. Prime factorization of 51684 in exponential form is:

51684 = 2² × 3¹ × 59¹ × 73¹

Step-3: Factors of 51675

List of positive integer factors of 51675 that divides 51675 without a remainder.

1, 3, 5, 13, 15, 25, 39, 53, 65, 75, 159, 195, 265, 325, 689, 795, 975, 1325, 2067, 3445, 3975, 10335, 17225

Step-4: Factors of 51684

List of positive integer factors of 51684 that divides 51675 without a remainder.

1, 2, 3, 4, 6, 12, 59, 73, 118, 146, 177, 219, 236, 292, 354, 438, 708, 876, 4307, 8614, 12921, 17228, 25842

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51675 and 51684. The biggest common factor number is the GCF number.
So the greatest common factor 51675 and 51684 is 3.

Also check out the Least Common Multiple of 51675 and 51684